Pith Number

pith:GWTKLMEG

pith:2017:GWTKLMEGBDECE5NLTWVIC6YLXM

not attested not anchored not stored refs pending

Weak representations, representations up to homotopy, and VB-groupoids

Seth Wolbert

arxiv:1704.05019 v1 · 2017-04-17 · math.DG · math.CT · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GWTKLMEGBDECE5NLTWVIC6YLXM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Fat Lie Theory

Receipt and verification

First computed	2026-05-18T00:46:17.224937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35a6a5b08608c82275ab9daa817b0bbb06d293f3bd1b92e85549fc2b5889a4b8

Aliases

arxiv: 1704.05019 · arxiv_version: 1704.05019v1 · doi: 10.48550/arxiv.1704.05019 · pith_short_12: GWTKLMEGBDEC · pith_short_16: GWTKLMEGBDECE5NL · pith_short_8: GWTKLMEG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GWTKLMEGBDECE5NLTWVIC6YLXM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 35a6a5b08608c82275ab9daa817b0bbb06d293f3bd1b92e85549fc2b5889a4b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fe482757c302b10ea8b0e25a87bcfd849823a24f4629d3dc6a2c45640e0a274",
    "cross_cats_sorted": [
      "math.CT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-04-17T16:30:24Z",
    "title_canon_sha256": "826e26305ad4908297578a6fd516c4db932b5d0fcab5f7ff51ec9b55308bfcc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05019",
    "kind": "arxiv",
    "version": 1
  }
}